GCF of 3448/769, 3250/578
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3448/769, 3250/578 i.e 2/444482 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3448/769, 3250/578.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 3448/769,3250/578?
Given fractions are 3448/769,3250/578
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 3448/769,3250/578, numerators are 3448,3250
Denominators are 769,578
The GCF of 3448,3250 is 2 .
LCM of 769,578 is 444482.
The greatest common factor of 3448/769,3250/578 = [GCF of 3448,3250]/[LCM of 769,578]= 2/444482
Therefore, the GCF of 3448/769,3250/578 is 2/444482.
To find the highest common factor of 3448,3250, we have to find the factors of both numbers and list the highest common factor.
The factors of 3448 are 1, 2, 4, 8, 431, 862, 1724, 3448
The factors of 3250 are 1, 2, 5, 10, 13, 25, 26, 50, 65, 125, 130, 250, 325, 650, 1625, 3250
The HCF of 3448,3250 is 2.
Lets's calculate GCF of 3448,3250
| 2 | 3448, 3250 |
| 1724, 1625 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3448,3250 By Matching Biggest Common Factor Method
Now, list down the factors of 3448
:1,2,4,8,431,862,1724,3448
Now, list down the factors of 3250
:1,2,5,10,13,25,26,50,65,125,130,250,325,650,1625,3250
Greatest Common Factor
We found the factors 3448,3250 . The biggest common factor number is the GCF number.
So the greatest common factor 3448,3250 is 2.
Lets's calculate LCM of 769,578
Given numbers has no common factors except 1. So, there LCM is their product i.e 444482
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/444482
Therefore, the GCF of Fractions 3448/769,3250/578 is 2/444482
Least Common Multiple of 769,578 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 769,578 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(769,578) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(769,578) x common factors =1 x 1 = 1
LCM(769,578) = ( 769 × 578 ) / 1
LCM(769,578) = 444482 / 1
LCM(769,578) = 444482
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FAQs on GCF of Fractions of 3448/769, 3250/578
1. What is the HCF of 3448,3250?
The HCF of 3448,3250 is 2
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 3448/769, 3250/578?
Answer: GCF of Numerators as per given numbers 3448/769, 3250/578 is
GCF of Numerators i.e. for 3448,3250 is 2
LCM of denominators i.e. for 769,578 is 444482.
Thus, GCF of Fractions is 2/444482.Finally, GCF of Fractions for 3448/769, 3250/578 is 2/444482.